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Simplifying 3(x + -6) + 2 = 4(x + 2) + -21 Reorder the terms: 3(-6 + x) + 2 = 4(x + 2) + -21 (-6 * 3 + x * 3) + 2 = 4(x + 2) + -21 (-18 + 3x) + 2 = 4(x + 2) + -21 Reorder the terms: -18 + 2 + 3x = 4(x + 2) + -21 Combine like terms: -18 + 2 = -16 -16 + 3x = 4(x + 2) + -21 Reorder the terms: -16 + 3x = 4(2 + x) + -21 -16 + 3x = (2 * 4 + x * 4) + -21 -16 + 3x = (8 + 4x) + -21 Reorder the terms: -16 + 3x = 8 + -21 + 4x Combine like terms: 8 + -21 = -13 -16 + 3x = -13 + 4x Solving -16 + 3x = -13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 3x + -4x = -13 + 4x + -4x Combine like terms: 3x + -4x = -1x -16 + -1x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -1x = -13 + 0 -16 + -1x = -13 Add '16' to each side of the equation. -16 + 16 + -1x = -13 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -13 + 16 -1x = -13 + 16 Combine like terms: -13 + 16 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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